Jan Swart UTIA Prague
Title: The contact process seen from a typical infected site.
In this talk, we will consider contact processes on general Cayley
graphs. It is shown that any such contact process has a well-defined
exponential growth rate, which can be related to the configuration seen from
a `typical' infected site at a `typical' late time. Using this quantity, it
is proved that on any nonamenable Cayley graph, the critical contact process
dies out.